Reducing triangular systems of ODEs with rational coefficients, with applications to coupled Regge-Wheeler equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00524452" target="_blank" >RIV/67985840:_____/20:00524452 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.difgeo.2020.101632" target="_blank" >https://doi.org/10.1016/j.difgeo.2020.101632</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.difgeo.2020.101632" target="_blank" >10.1016/j.difgeo.2020.101632</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Reducing triangular systems of ODEs with rational coefficients, with applications to coupled Regge-Wheeler equations

Popis výsledku v původním jazyce

We concisely summarize a method of finding all rational solutions to an inhomogeneous rational ODE system of arbitrary order (but solvable for its highest order terms) by converting it into a finite dimensional linear algebra problem. This method is then used to solve the problem of conclusively deciding when certain rational ODE systems in upper triangular form can or cannot be reduced to diagonal form by differential operators with rational coefficients. As specific examples, we consider systems of coupled Regge-Wheeler equations, which have naturally appeared in previous work on vector and tensor perturbations on the Schwarzschild black hole spacetime. Our systematic approach reproduces and complements identities that have been previously found by trial and error methods.

Název v anglickém jazyce

Reducing triangular systems of ODEs with rational coefficients, with applications to coupled Regge-Wheeler equations

Popis výsledku anglicky

We concisely summarize a method of finding all rational solutions to an inhomogeneous rational ODE system of arbitrary order (but solvable for its highest order terms) by converting it into a finite dimensional linear algebra problem. This method is then used to solve the problem of conclusively deciding when certain rational ODE systems in upper triangular form can or cannot be reduced to diagonal form by differential operators with rational coefficients. As specific examples, we consider systems of coupled Regge-Wheeler equations, which have naturally appeared in previous work on vector and tensor perturbations on the Schwarzschild black hole spacetime. Our systematic approach reproduces and complements identities that have been previously found by trial and error methods.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA18-07776S" target="_blank" >GA18-07776S: Vyšší struktury v algebře, geometrii a matematické fyzice</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Differential Geometry and Its Applications

ISSN

0926-2245

e-ISSN

—

Svazek periodika

70

Číslo periodika v rámci svazku

June

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

14

Strana od-do

101632

Kód UT WoS článku

000530679400011

EID výsledku v databázi Scopus

2-s2.0-85083045501